Research works

Enzymatic Ligation-Enhanced Catalytic Hairpin Assemblyfor Accelerated Kinetics with Restricted Leakage

Abstract Enthalpy-driven catalytic hairpin assembly (CHA) suffers from an inherent trade-off, wherein enhanced reaction kinetics is inevitably accompanied by elevated nonspecific background. Catalytic hairpin assembly-and-cyclization (CHAC) integrates CHA with enzymatic ligation,...

ProgrammableLeaving Group Controlled Skeletal Editingof Pyrroles into Pyridines via Sulfenylcarbenes

Abstract Skeletal editing plays a key role in diversifying nitrogen-containing heterocycles and their remodeling. Herein, we present a programmable, leaving-group-controlled single-carbon insertion into pyrroles using sulfenylcarbene. By tuning the leaving group in these sulfenyl...

Microscopic Injection, TLM Transfer Length, and Lateral Contact-Edge Resistance in Monolayer MoS2

Final corrected validation package for the computational research note on Bi/MoS2 contact-edge transport. Version 1.2.0 retains the Landauer correction introduced in version 1.1.0: the ideal width-normalized resistance is 43.86 ohm um, required mean transmission is 0.627, and the...

Bipolar Structure of the Lemniscate: Dual Images and Möbius Twist

The Bernoulli lemniscate exhibits a dual‑image structure generated by its two foci. A single normal‑field flip at the intersection produces a Möbius twist, converting locally distinct lobes into a globally unified image space through a nontrivial topological identification.

Digital Accounting in Business 1 (Basic Accounting): A Literature Review for Strengthened Senior High School Curriculum Learning Module Development

Abstract This study proposed a learning module development. It synthesizes policy documents and recent scholarly literature relevant to the development of a Digital Accounting-infused learning module for Business 1 (Basic Accounting) under the Strengthened Senior High School Curr...

The Mean as a Center of Equilibrium: A Torque-Based Derivation

This work explores the mathematical relationship between the arithmetic mean from statistics and the center of equilibrium from mechanics. It demonstrates that the equilibrium condition of a system of weighted objects leads directly to the formula of the arithmetic mean. By conne...

Lived Experiences of Senior High School (SHS) Teachers in Producing NC II Holders

Abstract Technical-vocational education provides socially relevant pathways for skills formation, certification, and workforce participation among Senior High School learners. This phenomenological study explored the lived experiences of Senior High School teachers in producing N...

Mathematics Self-Efficacy: Its Relationship to Student Mathematics Achievement

Abstract Mathematics self-efficacy is a socially relevant educational construct because students’ beliefs about their mathematical capability can shape participation, persistence, and achievement in learning environments. This descriptive-correlational study examined mathematics...

Characterisation and management of therapy-interrupting system errors associated with the use of the HomeChoice cycler for automated peritoneal dialysis

Abstract Background Methodological and technical education of nurses is required to address challenges of technology integration in peritoneal dialysis (PD). We analysed the nature of therapy interrupting system errors in automated peritoneal dialysis (APD) cyclers of a German PD...

Prediction of Compressive Strength of CSGR Based on Optimized Machine Learning with Sparrow Search Algorithm

Abstract Cemented sand, gravel, and rock (CSGR) is an emerging dam material, and accurately predicting its compressive strength is essential for reliable mix-proportion design. Using 342 experimentally measured samples, this study develops an SSA-optimized machine-learning framew...

Risk factors for Gram-negative bacterial bloodstream infections: a systematic review and meta-analysis with subgroup analyses for carbapenem-resistant organisms and Acinetobacter baumannii

Abstract Background Gram-negative bacterial (GNB) bloodstream infections (BSIs), particularly those caused by carbapenem-resistant GNB (CR-GNB) and Acinetobacter baumannii (AB), are associated with substantial morbidity and mortality. This study aimed to provide, to our knowledge...

The Charting Loop: A Four-Layer Probabilistic Theory of Uncharted-to-Charted Work in Agent Systems

Long-horizon agent work is usually framed as task execution. We propose charting as a more general unit of analysis. A problem is uncharted for an executor when progress requires changing its representation, objective, or admissible action structure; it becomes charted when a sta...

Mineral chemistry of metasomatic haloes in granite: constraints on fluid chemistry during spodumene pegmatite crystallization

Abstract Crystallizing spodumene pegmatites exsolve hydrothermal fluids, which generate exomorphic metasomatic halos in their host rocks. Composition, timing and frequency of fluid release relate to the evolution of the pegmatite. At the Moylisha prospect of the Leinster pegmatit...

Scientific Literacy Deficits, Vocabulary Barriers, and Evidence-Based Intervention Models in 21st-Century Science Education

Abstract Scientific literacy has become an indispensable competency for informed citizenship, evidence-based decision-making, and participation in a science- and technology-driven world. Yet persistent deficits in scientific literacy remain a critical global challenge, with PISA...

Microscopic Injection, TLM Transfer Length, and Lateral Contact-Edge Resistance in Monolayer MoS2

Final corrected validation package for the computational research note on Bi/MoS2 contact-edge transport. Version 1.2.0 retains the Landauer correction introduced in version 1.1.0: the ideal width-normalized resistance is 43.86 ohm um, required mean transmission is 0.627, and the...

A Machine Learning Framework for Identifying and Detecting Potentially Habitable Exomoons Around Sub-Neptunian Planets

This study presents a conceptual two-stage machine learning framework for identifying and detecting potentially habitable exomoons around sub-Neptunian planets. The framework addresses the difficulty of detecting weak, indirect, and phase-varying exomoon signatures by combining p...

rmt-llm-research — Random Matrix Theory meets Large Language Models: spectral analysis of activations and the mathematical inevitability of hallucinations

A research repository by Iskhak Hamzatovich Isaev presenting a comprehensive program applying Random Matrix Theory (RMT) to the analysis of large language models (LLMs). Thread 1 — Spectral statistics of LLM activations. Covariance matrices of GPT-2 hidden-state activations exhib...

Robust Static Candidate-Branch Obstructions and Reduced Pole-Correction Bounds in a Chiral Operator-Spectral Framework

We study a supplied chiral operator-spectral branch in which a common positive spectral scale multiplies four Hermitian family quadratic forms relative to a common family metric. Conservative mass ratios and static spectral subspaces are invariant under common positive rescaling,...

Unified Spectral Operator Formulation of the A7‑HBM‑ΩΦ Existential Theory: The Golden Ratio as a Spectral Invariance Principle

Unified Spectral Operator Formulation of the A7‑HBM‑ΩΦ Existential Theory: The Golden Ratio as a Spectral Invariance Principle Yazeed Mohammed Al-Olofi Independent Researcher – Sana'a, Yemen ORCID: https://orcid.org/0009-0005-2405-6636 yazeedalolofi6@gmail.com Abstract For nearly...

Emergent Spacetime from Self-Referential Computation: A Hierarchical Cellular Automaton Framework

This paper proposes a cosmological model — the Singularity-Bounded Holographic Class 4 Automaton (SB-HC4A) — derived from the convergence of four independently motivated frameworks: a five-class computational taxonomy that refines Wolfram's (2002) classification by separating fra...